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What's the length of side b in the figure below? I posted a picture so you can view the actual problem. Please help.

svetoff [14.1K]

we know that

in the right triangle of the figure

Applying the Pythagorean Theorem

$13^{2} =b^{2} +7^{2} \\ b^{2} =13^{2}-7^{2}\\ b^{2}=120\\ b=\sqrt{120} \ cm$

therefore

the answer is the option

C) $b=\sqrt{120} \ centimeters$

6 0

3 years ago

Read 2 more answers

Determine whether the triangles are congruent. Explain your reasoning .

Vanyuwa [196]

Answer:

The triangles are congruent by congruency theorem SAS.

Step-by-step explanation:

Side-Angle-Side, as it suggests, is when a triangle is congruent by the order of congruent side, congruent angle, and another congruent side. If named certain ways, they can be congruent. Since the question does not provide a specific way of naming the triangles, we can assume that any way is allowed. 2.5 and 2.5 are congruent, followed by angles D and G which have the congruent angle markers. The congruent angles are followed by 1.7 and 1.7, making the triangles congruent by Side-Angle-Side.

7 0

3 years ago

What are the slope and y-intercept for the graph of y – 3x = -1?

Liula [17]

Answer:

Slope (m) = 3, y-intercept (b) = -1

Step-by-step explanation:

First, we need to write the equation in y = mx + b.

To do this, add 3x to both sides.

y = 3x - 1 is your result.

Now, we have everything we need to do determine our slope and y-intercept in just this equation alone.

Remember, m = slope and b = y-intercept.

In this equation:

m = 3

b = -1

So your slope is 3, and your y-intercept is -1

5 0

3 years ago

Thomas buys 6 souvenirs for his friends and family. Each gift takes up 1/15 of his suitcase. If he has two suitcases, how much r

Gala2k [10]

Answer:

<u>Thomas still has 1 3/5 suitcases available for his own belongings.</u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Number of souvenirs bought by Thomas = 6

Space that each souvenir takes of Thomas suitcase = 1/15

Number of Thomas suitcases = 2

2. How much room is left for his own belongings in his suitcases?

Let's find out how much space the souvenirs take:

Number of souvenirs * Space that each souvenir takes

6 * 1/15 = 6/15 = 2/5 (Dividing by 3 the numerator and the denominator)

The souvenirs take 2/5 of one suitcase.

Now, we can calculate the room that is left for Thomas' belongings.

2 Suitcases - 2/5 for the souvenirs

2 - 2/5 = 10/5 - 2/5 = 8/5 = 1 3/5

<u>Thomas still has 1 3/5 suitcases available for his own belongings.</u>

6 0

3 years ago

Determine where the PHD Mathematicians live.

Pavlova-9 [17]

Answer:

the answer to A,B,C

Step-by-step explanation:

all the points are on the graph

all answers

b) slope -1

intercept 1

c)(x+3)(x-1)

intercepts (-3,0),(1,0)

vertex (-1,-4)

6 0

3 years ago